A rectangle has a perimeter of 42 feet. Its length, L, is three feet more than twic (a) Create an equation in terms of L and W for the perimeter of the rectangle. W b) Create an equation that relates L and W based on the length being three feet more than twice the width. Solve the system of equations that you just created by substitution to width.​

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

Formulate the indicated conclusion in nontechnical terms. be sure to address the original claim. the foundation chair for a hospital claims that the mean number of filled overnight beds is over 523, and she is therefore justified starting a funding campaign to add a wing to the hospital. assuming that a hypothesis test has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.

Factor this polynomial completely. x^2-8x+12